Here is the pseudo code for the Arithmetic Coding Algorithm:

BEGIN
1.     low = 0.0; high = 1.0; range = 1.0
2.     while (not end of the message)
3.          get (symbol);
4.          low = low + range * range_low(symbol);
5.          high = low + range * range_high(symbol);
6.          range = high-low;
7.     output a binary code that falls within [low, high)--> algorithm in the next slide

The line that is in red is where I need some clarification.  In the previous line, line 4, we update the value of low.  However, in line 5, we use some value of low to calculate high.  My question is....do we use the previous value of low which is 0.0 or do we use the newly updated value of low which would be 0.3 in the case of the example for encoding the letter C in CAEE$ ?  It seems like according to the table on page 6 slide 2 of the power point presentation we are supposed to use the original value of low which was 0.0.  Can anyone confirm this please?  I want to make sure I am following the example correctly.

Both low and high should be changed based on the current low value.

The lecture slide was updated to remove ambiguity.